• 제목/요약/키워드: Contractive type mappings

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ON α-GERAGHTY CONTRACTIVE MAPPINGS IN BIPOLAR METRIC SPACES

  • Duangkamon Kitkuan;Anantachai Padcharoen;Jong Kyu Kim;Won Hee Lim
    • Nonlinear Functional Analysis and Applications
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    • 제28권1호
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    • pp.295-309
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    • 2023
  • In this paper, we introduce the notion of α-Geraghty contractive type covariant and contravariant mappings in the bipolar metric spaces. In addition, we prove some fixed point theorems, which give existence and uniqueness of fixed point, for α-Geraghty contractive type covariant and contravariant mappings in complete bipolar metric spaces. Finally, we show some examples to support our main results.

COMMON STATIONARY POINTS FOR CONTRACTIVE TYPE MULTIVALUED MAPPINGS

  • Kang, Shin Min;Jia, Ming;Liu, Zeqing;Kwun, Young Chel
    • 충청수학회지
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    • 제22권3호
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    • pp.375-382
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    • 2009
  • Several common stationary point theorems for two classes of contractive type multivalued mappings in a complete bounded metric space are given. The results presented in this paper generalize and extend some known results in literature.

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FIXED POINT THEOREMS FOR SOME CONTRACTIVE MAPPINGS OF INTEGRAL TYPE WITH w-DISTANCE

  • LIU, ZEQING;WANG, HAOYUE;LIU, NA;KANG, SHIN MIN
    • Journal of applied mathematics & informatics
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    • 제37권5_6호
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    • pp.411-427
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    • 2019
  • The existence, uniqueness and iterative approximations of fixed points for some contractive mappings of integral type defined in complete metric spaces with w-distance are proved. Four examples are given to demonstrate that the results in this paper extend and improve some well-known results in the literature.

ON COMMON FIXED POINT THEOREMS OF WEAKLY COMPATIBLE MAPPINGS SATISFYING CONTRACTIVE INEQUALITIES OF INTEGRAL TYPE

  • Feng, Chi;Liu, Na;Shim, Soo Hak;Jung, Chahn Yong
    • Nonlinear Functional Analysis and Applications
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    • 제26권2호
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    • pp.393-409
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    • 2021
  • Three common fixed point theorems for weakly compatible mappings satisfying three classes of contractive inequalities of integral type are proved. Three examples are included. The results obtained in this paper extend and improve a few results existing in literature.

COMMON FIXED POINTS OF A PAIR OF MAPPINGS CONCERNING CONTRACTIVE INEQUALITIES OF INTEGRAL TYPE

  • Cai, Tao;Zhang, XiangShuai;Zhao, Liangshi
    • Nonlinear Functional Analysis and Applications
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    • 제27권3호
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    • pp.603-620
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    • 2022
  • Several common fixed point theorems for a pair of weakly compatible mappings satisfying contractive inequalities of integral type in a metric space are proved. The results obtained in this paper improve or differ from a few results existing in the literature.

FIXED POINT AND PERIODIC POINT THEOREMS ON METRIC SPACES

  • Cho, Seong-Hoon;Park, Dong-Gon
    • 충청수학회지
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    • 제26권1호
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    • pp.1-16
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    • 2013
  • The aim of this paper is to establish a new fixed point theorem for a set-valued mapping defined on a metric space satisfying a weak contractive type condition and to establish a new common fixed point theorem for a pair of set-valued mappings defined on a metric space satisfying a weak contractive type inequality. And we give periodic point theorems for single-valued mappings defined on a metric space satisfying weak contractive type conditions.

COMMON FIXED POINT THEOREMS FOR MULTIVALUED MAPS SATISFYING CONTACTIVE CONDITIONS OF AN INTEGRAL TYPE

  • Cho, Seong-Hoon;Bae, Jong-Sook
    • Journal of applied mathematics & informatics
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    • 제28권1_2호
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    • pp.397-409
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    • 2010
  • We prove the existence of common fixed points for multivalued maps satisfying a contractive condition of an integral type. Our results are extent ions of results of Feng and Liu[Y. Feng, S. Liu, Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math. Anal. Appl. 317(2006), 103-112] and also, extent ions of results of Daffer and Kaneko[P. Z. Daffer, H. Kaneko, Fixed points of generalized contractive multi-valued map pings, J. Math. Anal. Appl. 192(1995), 655-666]. A main result in Feng and Liu[Y. Feng, S. Liu, Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math. Anal. Appl. 317(2006), 103-112] is proved under necessary additional conditions.